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8th Grade Math Review

Total questions: 49

Worksheet time: 4hrs 39mins

Name
Class
Date
1.

To which real number set do the following real numbers belong?

a)

Irrational Numbers

b)

Natural Numbers

c)

Rational Numbers

d)

Integers

2.

We know that π (Pi) is approximately equal to 3.141592654... To which subset of the real numbers does π belong?

a)

Irrational Numbers

b)

Rational Numbers

c)

Integers

d)

Natural Numbers

3.

Simplify the expression using exponents.

a)

818

b)

915

c)

98

d)

8115

4.

Write the decimal as a fraction in simplest form

a)
b)
c)
d)
5.

Using exponents, what is the simplified form of the expression (24)7

a)

23

b)

1428

c)

228

d)

211

6.

Using exponents, what is the simplified form of this expression?

a)

59

b)

15

c)

514

d)

55

7.

What is the value of 180?

a)

18

b)

0

c)

1

d)

-18

8.

How do you write the standard number 0.00095 in scientific notation?

a)

9.5 x 10-3

b)

9.5 x 10-5

c)

9.5 x 10-4

d)

9.5 x 10-6

9.

Write the standard number 6,267,000 in scientific notation.

a)

62.67 x 106

b)

6.267 x 106

c)

6.267 x 104

d)

6.267 x 107

10.

How do you write 8.7 x 10-1 in standard form?

a)

0.87

b)

8.7

c)

87

d)

0.087

11.

What is the best estimate for the following.

a)

9.3432...

b)

6.782...

c)

8.2326...

d)

10.7638...

12.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92

13.

Which integer is a perfect square?

a)

169

b)

24

c)

10

d)

212

14.

Which of the following has the greatest value?

a)

3.5 x 104

b)

2.1 x 106

c)

7.2 x 107

d)

9.9 x 105

15.

How many times larger is 5 x 107 than 5 x 102?

a)

1 x 106

b)

1 x 104

c)

1 x 105

d)

1 x 109

16.

The lines 7x + 4y = 35 and 7x + 4y = 35 intersect at ____________________

a)

2 points

b)

1 point

c)

An infinite number of points

d)

There are no intersection points.

17.

Which number is equivalent to 5-1?

a)
b)
c)
d)
18.
 Solve the equation for x.
-8x - 8 + 3x - 6 = -3x + 2
a)
x = -8
b)
x = 8
c)
x = 2
d)
x = -2
19.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
20.
6(5g+ 2)=30g
a)
g=2
b)
g=12
c)
all real numbers
d)
no solution
21.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
22.

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.

Example: c6 ⋅ c4

a)

add

b)

subtract

c)

multiply

d)

divide

23.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
24.
Write the answer in scientific notation.
4.1 x 105 +   5.5 x 106  =
a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
25.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
26.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
27.
Solve for x and y
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
28.
Solve the system given:
3x - y = 7
2x + y = 3
a)
(-1,2)
b)
(5,4)
c)
(4,5)
d)
(2,-1)
29.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
30.
In the Pythagorean Theorem, c is always the ____ number.
a)
largest
b)
smallest
c)
middle
d)
first
31.
The formula V=(1/3)∏r2h is used to find the volume for ______.
a)
A cube
b)
A cylinder
c)
A sphere
d)
A cone
32.
a)
Function
b)
Not a Function
33.
The Pythagorean Theorem is _____.
a)
a2+b2=c2
b)
a2+c2=b2
c)
b2+c2=a2
d)
a2-b2=c2
34.
Nicolas places his 30 foot ladder against a house he is painting.  If the foot of the ladder is 8 feet from the base of the house, how high above the ground is the top of the ladder touching the house?  Round to the nearest tenth.
a)
22.0 ft
b)
27.8 ft
c)
28.9 ft
d)
31.0 ft
35.
At a home improvement store, customers can rent a small cargo truck to transport any large items they purchase.  The store charges $20 as a rental fee plus $7.50 per hour to rent the truck.  Which equation best represents the situation?  
a)
y=7.5x - 20
b)
y=7.5x + 20
c)
y=20x - 7.5
d)
y=20x + 7.5
36.
Slope, in basic terms, is simply...
a)
Rise over run
b)
Run over rise
c)
Left over down
d)
Right over up
37.
In the equation y=mx+b, m is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
38.
In the equation y=mx+b, b is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
39.
The vertical axis is the _____.
a)
X-axis
b)
Y-axis
c)
Origin
d)
Slope
40.
When you translate, (x+2,y) will move _____.
a)
2 units right
b)
2 units left
c)
2 units up
d)
2 units down
41.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
42.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
43.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
44.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
45.
Solve the equation for x:
8x + 2 - 5x = 32
a)
x = 8
b)
x = 9
c)
x = 10
d)
x = 11
46.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
47.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
48.
What is the value of:
(3/4)0
a)
1
b)
0
c)
3/4
d)
3/16
49.
Simplify the following:
x-3
a)
1/x-3
b)
x3
c)
1/x
d)
1/x3

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